Let x be the investment in the first year.
10,000-x be the investment in the succeeding year.
0.10x + 0.08(10,000-x) = 920
0.10x + 800 -0.08x = 920
0.02x = 920 -800
0.02x = 120
x = 6,000
Therefore, the amount invested at the first year with 10% interest is 6,000 pesos. The amount invested the next year with 8% interest is 4,000 pesos.